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Verified answer

Answer:

Denominators of the two given fractions are 3 and 4. Take the LCM of the denominators. It is 12. Equivalent fraction of 2/3 with 12 as denominator is 8/12. Equivalent fraction of 5/4 with 12 as denominator is 15/12. Rational numbers between 8/12 and 15/12 are also rational numbers between 2/3 and 5/4 because they equivalent fractions. Now rational numbers between 8/12 and 15/12 are 9/12, 10/12, 11/12, 12/12 and 13/12. These are the five rational numbers between 2/3 and 5/4. If you want more rational numbers between the given rational numbers make the denominator as 24 and find out the equivalent fractions and all the rational numbers between 16/24 and 30/24 are the rational numbers between 2/3 and 5/4. Multiply the numerator and denominator with the same number to get the equivalent fraction.

Step-by-step explanation:

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